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[R] Nested ANOVA with a random nested factor (how to use the lme
 function?)

Addison, Prue

2005-07-17

Replies:

Hi,



I am having trouble using the lme function to perform a nested ANOVA
with a random nested factor.



My design is as follows:



Location (n=6) (Random)

Site nested within each Location (n=12) (2 Sites nested within each
Location) (Random)

Dependent variable: sp (species abundance)





By using the aov function I can generate a nested ANOVA, however this
assumes that my nested factor is fixed.



> summary(aov(sp~Location/Site, data=mavric))

           

Df Sum Sq Mean Sq F value Pr(>F)

Location       4 112366  28092 1.2742 0.2962

Location:Transect 5 121690  24338 1.1039 0.3736

Residuals      40 881875  22047          





I have tried the following lme function to specify that Site is random:



> lme1 <- lme(sp~Location, random=~1|Site, data=mavric)

> lme2 <- lme(sp~Location, random=~1|Location/Site, data=mavric)



> anova(lme1)

       numDF denDF F-value p-value

(Intercept)   1   40 3.418077 0.0719

Location     4   5 1.152505 0.4294



This gives me the correct F-value for Location from
MSLocation/MSLocation:Transect, but the p-value doesn't seem to be
correct (by my calculations in Microsoft Excel it should be 0.345)



> anova(lme2)

Warning in pf(q, df1, df2, lower.tail, log.p) :

     NaNs produced

Warning: NAs introduced by coercion

       numDF denDF F-value p-value

(Intercept)   1   40 0.459966 0.5015

Location     4   0 0.155091   NaN



? I don't know what this output means



> anova(lme1,lme2)

  Model df    AIC    BIC   logLik  Test    L.Ratio p-value

lme1   1 7 603.7534 616.4000 -294.8767                  

lme2   2 8 605.7534 620.2067 -294.8767 1 vs 2 1.815674e-05 0.9966



? I also don't know what this output means.



Can anyone tell me if there is a way to use the lme() function in order
to obtain the same output as the aov() function (above), but so it
correctly calculates the MS, F and p values for my main Location factor?



Thanks,



Prue

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